# 35th Mersenne prime M1398269 supports Collatz conjecture

During March 18 – April 9, 2017 our “3000 Collatz Tester” tested the 35th Mersenne prime M1398269 for being in agreement with Collatz conjecture and supported it.

M1398269 required 18807193 steps to get from 8.15*10420920 to 1. In the process the sequence took 2796547 first steps to expand by 2.25*10246223 times.

Full statistics for M1398269 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M1398269 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 8.147176E+420920
DIGITS in NUMBER(N) = 420921
BITS in NUMBER(N) = 1398269
MAXIMUM(N) = 1.832528E+667144
DIGITS in MAXIMUM(N) = 667145
BITS in MAXIMUM(N) = 2216206
STEPS to MAXIMUM(N) = 2796547
BASIC EXPANSION(N) = 2.249280E+246223
DIGITS in BASIC EXPANSION(N) = 246224
BITS in BASIC EXPANSION(N) = 817937
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 8707635 (46.0%)
EVEN(N) = 12072502 (64.2%)
ODD(N) = 6734691 (35.8%)
DELAY(N) = 18807193 (100.0%)
COMPLETENESS(N) = 0.557854
RESIDUE(N) = 1.240615
GAMMA(N) = 12.456072
STRENGTH(N) = -2544051
LEVEL(N) = 318007

The definitions for presented parameters are given at Eric Roosendaal’s site.

The next number that we test will be the 36th Mersenne prime M2976221.